Distance Between Two Points- FIII- Miss Luz

Objective:

Students will explore distance between two points in a coordinate plane and learn how this relates to right triangles.

Activity 1: Click, drag, and drop the points to explore the distance between them.

Activity 2: Use the visual to...

Find the distance between each set of two points:[br][list=1][*](0,0) and (5,0)[/*][*](0,0) and (0,5)[/*][*](7,3) and (5,3)[/*][*](-6,-4) and (-6,4)[/*][/list]Explain how you know.

Activity 3: Check your answer.

Activity 4: Click, drag, and drop the points to explore the distance between them.

Activity 5: Use the visual to...

Find the distance between (1,1) and (8,6).[br][list=1][*]What is different this time?[/*][*]Can this exact distance be found? Why or why not?[/*][/list]

Activity 6: Check your answer.

Attention: Did you notice the right triangle?

Activity 7: Wherever there is a diagonal distance, there is also a right triangle.

[list][*]The [b][color=#6aa84f]longest side[/color][/b] of the right triangle (called the [b][color=#6aa84f]hypotenuse[/color][/b]) is the diagonal distance.[/*][*]The two [color=#6aa84f][b]shorter sides[/b][/color] of the right triangle (called the [color=#6aa84f][b]legs[/b][/color]) make up the horizontal and vertical components of the diagonal distance.[/*][/list]Click the most correct choice.

The sides of a right triangle are called the hypotenuse (1 long side) and the legs (2 shorter sides). The sides of a right triangle are called the hypotenuse (1 short side) and the legs (2 longer sides). The sides of a right triangle are called the hypotenuses (2 shorter sides) and the leg (1 long side). The sides of a right triangle are called the hypotenuses (2 longer sides) and the leg (1 short side).

Activity 8: Watch the video and take notes in ypur copybook.

Activity 9: Try to solve this exercise.

Complete the exercise in your copybook and show your work to your teacher. [br]At the end you need to find and write the formula of the Distance between 2 points.